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Vector Subspace Example

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Calculate the dimension of the subsapce of P4(t) (polynomials of degree at most 4 in the indeterminate t) consisting of polynomials p(t) E P4(t) satisfying p(0) = p(1)

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Solution calculates a dimension of subspace of vector space of polynomials. Attached as a Word document.

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Solution:

Let be an arbitrary polynomial from . if and only if

The last equality holds if ...

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